Results 31 to 40 of about 10,471,647 (271)
BGG reciprocity for current algebras [PDF]
, 2014 It was conjectured by Bennett, Chari, and Manning that a BGG-type reciprocity holds for the category of graded representations with finite-dimensional graded components for the current algebra associated to a simple Lie algebra.
Chari, Vyjayanthi, Ion, Bogdan
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An sl(2,$ \mathbb{R} $) current algebra from AdS3 gravity [PDF]
, 2013 A bstractWe provide a set of chiral boundary conditions for three-dimensional gravity that allow for asymptotic symmetries identical to those of two-dimensional induced gravity in light-cone gauge considered by Polyakov.
Steven G. Avery +2 more
semanticscholar +1 more source
Bethe Vectors of Quantum Integrable Models with GL(3) Trigonometric R-Matrix
Symmetry, Integrability and Geometry: Methods and Applications, 2013 We study quantum integrable models with GL(3) trigonometric $R$-matrix and solvable by the nested algebraic Bethe ansatz.Using the presentation of the universal Bethe vectors in terms of projections of products of the currents of the quantum affine ...
Samuel Belliard +3 more
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Currents, charges and algebras in exceptional generalised geometry
Journal of High Energy Physics, 2021 A classical E d(d)-invariant Hamiltonian formulation of world-volume theories of half-BPS p-branes in type IIb and eleven-dimensional supergravity is proposed, extending known results to d ≤ 6. It consists of a Hamiltonian, characterised by a generalised
David Osten
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Tilting modules for the current algebra of a simple Lie algebra [PDF]
, 2012 The category of level zero representations of current and affine Lie algebras shares many of the properties of other well-known categories which appear in Lie theory and in algebraic groups in characteristic p and in this paper we explore further ...
M. Bennett, Vyjayanthi Chari
semanticscholar +1 more source
A current algebra approach to the equilibrium classical statistical mechanics and its applications
Condensed Matter Physics, 2013 The non-relativistic current algebra approach is analyzed subject to its application to studying the distribution functions of many-particle systems at the temperature equilibrium and their stability properties.
N. Bogolubov, A. Prykarpatsky
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REDIMAT, 2015 We present a global, synthetic and updated vision of the contributions made by the anthropological theory of the didactic to the problem of teaching elementary algebra. We start by summarising the first results obtained by Yves Chevallard in the 80s that
Noemí Ruiz Munzón +2 more
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The Large N 't Hooft Limit of Kazama-Suzuki Model [PDF]
, 2012 We consider N=2 Kazama-Suzuki model on CP^N=SU(N+1)/SU(N)xU(1). It is known that the N=2 current algebra for the supersymmetric WZW model, at level k, is a nonlinear algebra. The N=2 W_3 algebra corresponding to N=2 was recovered from the generalized GKO
A Belavin +37 more
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Poisson-Lie T-duality of WZW model via current algebra deformation
Journal of High Energy Physics, 2020 Poisson-Lie T-duality of the Wess-Zumino-Witten (WZW) model having the group manifold of SU(2) as target space is investigated. The whole construction relies on the deformation of the affine current algebra of the model, the semi-direct sum su 2 ℝ ⊕ ⋅ a $
Francesco Bascone +2 more
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Journal of High Energy Physics, 2022 Bondi-Metzner-Sachs (BMS) symmetries, or equivalently Conformal Carroll symmetries, are intrinsically associated to null manifolds and in two dimensions can be obtained as an Inönü-Wigner contraction of the two-dimensional (2d) relativistic conformal ...
Arjun Bagchi +2 more
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